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# Real-Time Optimal Parametric Design of a Simple Infiltration-Evaporation Model Using the Assess-Predict-Optimize (APO) Strategy

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 dc.contributor.author Ali, S. dc.contributor.author Damodaran, Murali dc.contributor.author Patera, Anthony T. dc.date.accessioned 2003-11-19T20:50:04Z dc.date.available 2003-11-19T20:50:04Z dc.date.issued 2003-01 dc.identifier.uri http://hdl.handle.net/1721.1/3706 dc.description.abstract Optimal parametric design of a system must be able to respond quickly to short term needs as well as long term conditions. To this end, we present an Assess-Predict-Optimize (APO) strategy which allows for easy modification of a system’s characteristics and constraints, enabling quick design adaptation. There are three components to the APO strategy: Assess - extract necessary information from given data; Predict - predict future behavior of system; and Optimize – obtain optimal system configuration based on information from the other components. The APO strategy utilizes three key mathematical ingredients to yield real-time results which would certainly conform to given constraints: dimension reduction of the model, a posteriori error estimation, and optimization methods. The resulting formulation resembles a bilevel optimization problem with an inherent nonconvexity in the inner level. Using a simple infiltration-evaporation model to simulate an irrigation system, we demonstrate the APO strategy’s ability to yield real-time optimal results. The linearized model, described by a coercive elliptic partial differential equation, is discretized by the reduced-basis output bounds method. A primal-dual interior point method is then chosen to solve the resulting APO problem. en dc.description.sponsorship Singapore-MIT Alliance (SMA) en dc.format.extent 256590 bytes dc.format.mimetype application/pdf dc.language.iso en_US dc.relation.ispartofseries High Performance Computation for Engineered Systems (HPCES); dc.subject reduced-basis en dc.subject a posteriori error estimation en dc.subject design optimization en dc.subject nonlinear optimization en dc.subject bilevel optimization en dc.subject inverse problems en dc.title Real-Time Optimal Parametric Design of a Simple Infiltration-Evaporation Model Using the Assess-Predict-Optimize (APO) Strategy en dc.type Article en
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